科图分类法:	O152.6 版次：
中图分类法:	O152.6 版次：
著者:	Prasad, Amritanshu,
题名:	Representation theory : [ a combinatorial viewpoint /] / ,
出版发行:	出版地： Delhi : 出版社： Cambridge University Press, 出版日期： 2015.
载体形态:	xii, 191 pages ; 24 cm.
内容提要:	"This book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson-Schensted-Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur-Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. This book is suitable for advanced undergraduates, graduate students and non-specialists with a background in mathematics or physics."--Page [4] of cover.
主题词:	Comb